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Finding the Third Proportional to 181,953 and 266,989.50

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Solution

The third proportional to 181,953 and 266,989.50 is: 391,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,953 : 266,989.50 = 266,989.50 : x
  2. Step 2: Convert to fraction form
    181,953/266,989.50 = 266,989.50/x
  3. Step 3: Cross multiply
    181,953x = 266,989.50 × 266,989.50
  4. Step 4: Simplify right side
    181,953x = 71,283,393,110.25
  5. Step 5: Solve for x
    x = 71,283,393,110.25/181,953
  6. Step 6: Final answer
    x = 391,768.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.